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A355236
E.g.f. A(x) satisfies A'(x) = 1 + (exp(x) - 1) * A(2*x)/2.
0
0, 1, 0, 2, 3, 36, 205, 3982, 59143, 2256856, 77934585, 6150325562, 472040621283, 78339827803476, 13070683708717765, 4582625922523426342, 1640266593049835803423, 1214338374811373816693296, 924005045104558757129996145
OFFSET
0,4
FORMULA
a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^(k-1) * binomial(n,k) * a(k).
PROG
(PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i-1, 2^(j-1)*binomial(i, j)*v[j])); concat(0, v);
CROSSREFS
Sequence in context: A080357 A064032 A118443 * A340845 A266758 A280539
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 25 2022
STATUS
approved